Tuesday, February 23, 14:00, 7.527

Gwyn Bellamy (Glasgow), Symplectic resolutions of quiver varieties.

Abstract:
Quiver varieties, as introduced by Nakajima, play a key role in representation theory. They give a very large class of symplectic singularities and, in many cases, their symplectic resolutions too. However, there seems to be no general criterion in the literature for when a quiver variety admits a symplectic resolution. In this talk I will give necessary and sufficient conditions for a quiver variety to admit a symplectic resolution. This result is based on work of Crawley-Boevey and of Kaledin, Lehn and Sorger. The talk is based on joint work with T. Schedler.